#define NUM_BINS 1000
int output_bins[NUM_BINS];
#define DATA_SIZE 100000
int input_data[DATA_SIZE] = 
{
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797, 16, 1, 827, 420, 52, 465, 684, 229, 133, 822, 104, 85, 629, 548, 642, 806, 203, 476, 731, 250, 484, 468, 78, 757, 942, 890, 610, 821, 838, 697, 562, 76, 866, 744, 200, 679, 688, 823, 316, 195, 883, 313, 648, 181, 287, 628, 459, 581, 703, 20, 420, 2, 861, 875, 14, 941, 230, 922, 233, 729, 833, 919, 140, 498, 62, 161, 363, 401, 211, 497, 859, 676, 390, 616, 134, 784, 709, 405, 337, 360, 187, 388, 567, 725, 698, 835, 260, 647, 995, 722, 999, 634, 437, 275, 722, 852, 179, 895, 109, 809, 204, 363, 541, 460, 918, 874, 829, 147, 269, 710, 447, 242, 376, 389, 556, 322, 601, 475, 142, 377, 74, 554, 910, 830, 965, 153, 425, 643, 297, 592, 360, 760, 35, 570, 164, 7, 670, 807, 261, 403, 194, 860, 832, 723, 569, 456, 57, 474, 489, 95, 162, 171, 12, 529, 542, 708, 732, 551, 630, 993, 320, 131, 863, 40, 375, 526, 721, 299, 441, 63, 262, 194, 182, 208, 42, 523, 812, 244, 158, 25, 587, 216, 761, 630, 411, 683, 891, 646, 337, 612, 905, 673, 360, 986, 778, 354, 340, 347, 437, 533, 77, 0, 416, 765, 948, 501, 900, 845, 216, 478, 157, 528, 834, 27, 807, 443, 367, 594, 823, 733, 655, 383, 954, 19, 123, 629, 566, 359, 945, 515, 388, 252, 556, 246, 264, 611, 773, 161, 454, 73, 992, 677, 881, 160, 813, 168, 360, 880, 824, 86, 66, 668, 762, 289, 281, 273, 724, 346, 653, 603, 492, 749, 766, 383, 578, 745, 998, 904, 372, 981, 688, 400, 362, 800, 313, 620, 352, 2, 124, 395, 964, 268, 809, 618, 143, 494, 571, 857, 234, 655, 190, 137, 86, 494, 60, 602, 511, 729, 683, 389, 552, 229, 338, 771, 618, 615, 777, 546, 541, 384, 172, 349, 836, 47, 46, 683, 238, 969, 732, 938, 639, 78, 972, 634, 265, 755, 705, 277, 176, 580, 204, 842, 632, 246, 471, 985, 402, 121, 866, 910, 967, 330, 235, 923, 60, 670, 339, 623, 625, 542, 867, 468, 937, 980, 293, 752, 361, 620, 218, 391, 592, 547, 526, 691, 760, 200, 122, 273, 727, 923, 756, 578, 647, 905, 61, 784, 763, 201, 388, 973, 307, 923, 400, 383, 223, 998, 213, 529, 869, 172, 711, 453, 399, 374, 619, 825, 34, 242, 252, 225, 648, 573, 283, 665, 386, 411, 460, 359, 823, 679, 262, 952, 438, 205, 312, 325, 150, 409, 507, 666, 812, 547, 636, 126, 76, 283, 884, 161, 295, 106, 890, 775, 847, 963, 497, 228, 84, 328, 965, 952, 711, 440, 643, 348, 948, 572, 187, 261, 390, 502, 111, 674, 90, 76, 570, 987, 777, 634, 963, 196, 616, 672, 421, 827, 326, 904, 918, 2, 622, 486, 821, 643, 315, 830, 874, 197, 970, 321, 429, 155, 677, 323, 572, 30, 686, 328, 348, 360, 796, 455, 995, 260, 508, 552, 546, 394, 18, 933, 46, 558, 988, 601, 439, 681, 618, 440, 806, 877, 209, 778, 91, 941, 56, 561, 835, 426, 757, 93, 315, 880, 25, 433, 26, 487, 817, 271, 141, 580, 126, 818, 246, 590, 334, 233, 179, 631, 85, 93, 132, 659, 335, 306, 220, 298, 220, 112, 195, 541, 783, 819, 163, 987, 833, 986, 280, 413, 652, 303, 180, 12, 891, 680, 212, 79, 716, 150, 419, 542, 320, 128, 383, 404, 522, 970, 759, 748, 639, 408, 119, 728, 207, 331, 428, 183, 465, 734, 6, 37, 640, 273, 219, 31, 811, 695, 883, 306, 577, 877, 655, 134, 963, 133, 906, 763, 54, 72, 948, 566, 618, 396, 446, 131, 97, 726, 31, 965, 65, 533, 84, 108, 235, 127, 917, 974, 596, 196, 31, 858, 308, 388, 843, 457, 361, 894, 986, 858, 628, 582, 970, 604, 302, 256, 802, 207, 47, 157, 968, 811, 410, 410, 986, 544, 181, 110, 446, 173, 318, 712, 377, 78, 6, 563, 677, 681, 58, 673, 65, 941, 280, 928, 996, 753, 750, 805, 220, 586, 562, 919, 828, 402, 936, 145, 412, 631, 86, 534, 254, 656, 8, 82, 244, 978, 257, 510, 695, 652, 953, 701, 911, 770, 192, 398, 914, 462, 251, 15, 559, 82, 171, 735, 23, 463, 243, 662, 57, 926, 206, 85, 613, 414, 737, 12, 632, 788, 861, 446, 807, 155, 511, 952, 232, 430, 399, 741, 26, 237, 145, 216, 799, 984, 608, 106, 700, 521, 194, 577, 630, 537, 135, 996, 374, 999, 202, 351, 878, 455, 891, 663, 866, 215, 855, 388, 741, 409, 138, 473, 490, 775, 36, 37, 709, 492, 937, 206, 330, 509, 782, 163, 434, 778, 719, 949, 166, 634, 306, 713, 59, 197, 240, 113, 329, 427, 15, 827, 257, 341, 743, 741, 611, 649, 824, 899, 777, 888, 120, 143, 736, 920, 980, 143, 4, 263, 910, 204, 622, 673, 817, 441, 289, 477, 590, 790, 781, 411, 903, 521, 634, 597, 994, 280, 672, 169, 572, 259, 449, 981, 332, 917, 524, 995, 843, 20, 542, 162, 372, 178, 439, 91, 115, 723, 478, 926, 630, 746, 650, 649, 125, 544, 966, 877, 308, 771, 486, 335, 606, 161, 694, 531, 276, 38, 0, 196, 512, 7, 324, 937, 633, 482, 106, 723, 313, 888, 746, 942, 710, 738, 551, 657, 193, 518, 76, 277, 213, 522, 546, 691, 899, 7, 74, 491, 459, 47, 633, 346, 560, 105, 228, 309, 943, 635, 817, 259, 733, 492, 610, 500, 933, 543, 221, 308, 453, 8, 531, 450, 439, 217, 167, 271, 104, 804, 851, 269, 229, 535, 305, 905, 946, 70, 879, 157, 615, 703, 438, 279, 149, 295, 202, 866, 745, 864, 222, 850, 332, 538, 958, 740, 957, 457, 272, 255, 27, 146, 750, 160, 214, 791, 10, 759, 105, 78, 59, 578, 827, 519, 707, 975, 362, 20, 87, 507, 162, 386, 83, 818, 57, 305, 256, 37, 375, 418, 307, 425, 496, 747, 984, 477, 305, 227, 491, 349, 738, 157, 649, 472, 473, 351, 230, 299, 59, 189, 624, 784, 780, 166, 511, 434, 723, 109, 864, 145, 761, 839, 835, 443, 886, 781, 233, 84, 219, 575, 640, 144, 262, 361, 121, 745, 110, 258, 808, 645, 425, 636, 85, 194, 102, 12, 639, 9, 419, 945, 185, 276, 401, 11, 652, 67, 880, 130, 301, 440, 659, 321, 587, 219, 74, 684, 144, 544, 514, 284, 869, 131, 27, 224, 289, 945, 32, 73, 782, 594, 790, 509, 595, 283, 763, 336, 82, 277, 953, 156, 297, 554, 937, 113, 842, 561, 784, 960, 59, 442, 18, 907, 59, 704, 422, 630, 928, 138, 465, 956, 949, 749, 471, 503, 416, 851, 34, 525, 162, 190, 49, 226, 300, 284, 218, 668, 809, 597, 610, 117, 174, 341, 249, 630, 805, 121, 746, 321, 125, 119, 60, 947, 519, 384, 477, 782, 739, 503, 303, 412, 361, 316, 92, 968, 660, 768, 78, 406, 968, 828, 865, 200, 429, 287, 58, 699, 623, 9, 752, 717, 602, 750, 41, 375, 116, 33, 299, 827, 227, 884, 644, 610, 246, 969, 586, 969, 887, 92, 293, 757, 607, 526, 174, 325, 579, 164, 621, 236, 216, 425, 33, 202, 44, 454, 799, 510, 68, 114, 405, 427, 141, 538, 640, 46, 224, 70, 634, 727, 694, 578, 202, 160, 790, 795, 111, 76, 835, 644, 173, 817, 543, 253, 403, 927, 890, 52, 607, 752, 506, 422, 131, 199, 976, 258, 378, 4, 871, 444, 279, 528, 963, 114, 586, 918, 362, 667, 806, 227, 954, 582, 5, 93, 308, 951, 546, 415, 570, 994, 808, 795, 144, 469, 705, 831, 272, 351, 436, 135, 509, 359, 777, 120, 229, 260, 858, 286, 136, 366, 896, 724
};
int verify_data[NUM_BINS] = 
{
89, 95, 110, 104, 108, 97, 110, 104, 92, 112, 87, 102, 110, 96, 88, 87, 116, 106, 105, 94, 103, 93, 102, 85, 92, 106, 114, 105, 98, 103, 99, 100, 111, 117, 108, 89, 101, 105, 85, 87, 101, 92, 85, 101, 103, 102, 109, 100, 102, 102, 109, 107, 109, 108, 121, 101, 96, 105, 98, 104, 105, 104, 103, 110, 115, 113, 89, 106, 97, 106, 117, 114, 99, 94, 99, 113, 126, 91, 114, 87, 96, 96, 122, 85, 95, 102, 90, 94, 104, 109, 95, 101, 104, 105, 105, 86, 116, 84, 98, 121, 91, 98, 82, 103, 96, 96, 104, 95, 85, 104, 89, 121, 117, 92, 94, 124, 95, 106, 96, 90, 100, 96, 104, 94, 116, 108, 96, 95, 109, 95, 91, 97, 104, 91, 102, 89, 97, 112, 91, 79, 96, 94, 110, 97, 89, 111, 114, 103, 87, 99, 91, 101, 85, 100, 117, 88, 101, 111, 97, 92, 81, 103, 114, 107, 89, 123, 107, 119, 111, 100, 90, 73, 82, 100, 91, 100, 102, 103, 87, 116, 105, 104, 96, 94, 85, 88, 98, 101, 73, 100, 91, 117, 83, 112, 84, 92, 117, 105, 94, 105, 97, 91, 106, 96, 100, 99, 116, 107, 80, 71, 109, 90, 104, 113, 99, 126, 88, 87, 102, 113, 104, 114, 95, 110, 103, 106, 94, 113, 110, 105, 87, 108, 83, 79, 106, 106, 97, 88, 108, 96, 80, 85, 105, 89, 96, 83, 103, 135, 84, 86, 93, 107, 87, 99, 96, 91, 103, 100, 89, 104, 101, 106, 91, 118, 87, 104, 97, 94, 104, 101, 97, 102, 105, 104, 92, 89, 99, 104, 93, 120, 114, 112, 81, 81, 91, 98, 104, 105, 114, 97, 90, 95, 101, 92, 112, 95, 95, 109, 91, 104, 103, 110, 90, 107, 101, 118, 104, 118, 107, 114, 92, 106, 93, 98, 95, 94, 92, 99, 113, 97, 75, 103, 104, 92, 100, 87, 105, 91, 112, 105, 87, 117, 99, 89, 102, 88, 98, 104, 108, 104, 91, 93, 80, 106, 97, 107, 119, 108, 86, 106, 108, 109, 107, 101, 107, 102, 114, 107, 113, 112, 97, 99, 119, 94, 77, 93, 106, 98, 90, 99, 91, 110, 97, 96, 117, 109, 104, 92, 84, 98, 93, 99, 92, 87, 98, 91, 96, 98, 103, 94, 97, 117, 92, 109, 109, 84, 96, 94, 86, 90, 95, 100, 107, 100, 122, 99, 94, 92, 97, 100, 86, 107, 100, 104, 78, 114, 86, 85, 106, 95, 116, 106, 98, 107, 94, 115, 103, 111, 104, 92, 90, 114, 102, 108, 92, 98, 93, 88, 105, 83, 104, 92, 79, 90, 101, 101, 97, 89, 101, 106, 99, 97, 98, 100, 108, 99, 111, 100, 103, 112, 101, 110, 91, 107, 103, 109, 94, 82, 94, 92, 112, 114, 88, 99, 90, 86, 83, 92, 114, 76, 105, 117, 98, 86, 100, 99, 116, 123, 89, 108, 93, 109, 92, 83, 93, 101, 93, 108, 105, 114, 115, 106, 92, 118, 106, 101, 91, 98, 106, 108, 111, 102, 95, 91, 100, 98, 109, 94, 100, 99, 84, 107, 108, 112, 107, 105, 97, 86, 100, 87, 93, 117, 96, 94, 88, 100, 85, 117, 105, 108, 110, 108, 93, 115, 107, 115, 94, 92, 105, 97, 118, 93, 95, 99, 99, 110, 110, 98, 105, 106, 116, 122, 87, 96, 103, 104, 97, 101, 84, 95, 91, 105, 99, 95, 112, 106, 93, 104, 105, 88, 104, 82, 89, 107, 93, 92, 115, 119, 104, 104, 95, 113, 104, 99, 129, 101, 119, 98, 83, 87, 121, 88, 107, 94, 105, 92, 90, 119, 109, 85, 98, 112, 100, 95, 95, 115, 87, 90, 98, 100, 93, 93, 100, 91, 89, 92, 99, 91, 93, 102, 98, 94, 116, 105, 113, 99, 91, 110, 106, 112, 82, 103, 105, 107, 97, 96, 94, 103, 105, 84, 96, 99, 103, 102, 99, 105, 113, 98, 92, 106, 99, 107, 101, 95, 104, 92, 107, 104, 100, 95, 112, 81, 108, 99, 88, 104, 94, 116, 95, 123, 116, 100, 96, 116, 106, 83, 97, 107, 104, 92, 86, 85, 83, 95, 99, 108, 92, 99, 99, 96, 119, 96, 92, 96, 106, 109, 99, 116, 112, 100, 89, 92, 102, 111, 124, 86, 104, 105, 106, 95, 90, 113, 102, 115, 115, 83, 83, 105, 106, 106, 94, 104, 92, 101, 104, 106, 94, 98, 102, 95, 106, 117, 85, 109, 86, 114, 92, 94, 95, 99, 98, 106, 98, 87, 87, 108, 94, 115, 96, 94, 95, 100, 94, 102, 104, 92, 103, 103, 94, 85, 97, 95, 95, 91, 104, 108, 93, 105, 101, 105, 96, 102, 87, 90, 94, 102, 87, 80, 99, 103, 87, 100, 89, 92, 103, 97, 123, 108, 111, 97, 94, 113, 103, 96, 106, 101, 98, 105, 95, 112, 96, 101, 108, 100, 108, 79, 112, 98, 94, 101, 98, 110, 96, 98, 109, 110, 97, 114, 94, 99, 97, 91, 89, 116, 119, 116, 96, 87, 103, 94, 106, 98, 122, 115, 98, 117, 113, 103, 110, 101, 99, 99, 102, 106, 84, 111, 110, 88, 93, 94, 105, 97, 106, 109, 105, 105, 102, 88, 88, 104, 102, 87, 106, 103, 95, 87, 101, 102, 103, 98, 95, 106, 81, 86, 93, 111, 88, 101, 98, 106, 114, 80, 101, 97, 93, 94, 112, 89, 100, 107, 97, 94, 87, 94, 98, 102, 71, 95, 98, 119, 100, 102, 116, 106, 97, 90, 105, 104, 89, 110, 121, 100, 104, 94, 71, 88, 100, 85, 102, 101, 92, 99, 111, 110, 105, 97, 97, 97, 90, 112, 98, 103, 107, 107, 105, 104, 92, 98, 107, 83, 110, 106, 114, 77, 99, 93, 98, 83, 81, 99, 103, 96, 107, 101, 100, 124, 93, 109, 97, 111, 103, 98, 102, 99, 115, 96, 106, 98, 102, 104, 111, 98, 97, 102, 109, 109, 113, 93, 98, 99, 94, 96, 102, 100, 85, 99, 102, 98, 89, 107
};
